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Finding the Fourth Proportional to 1,725.03, 2,380.59 and 1,026

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Solution

The fourth proportional to 1,725.03, 2,380.59 and 1,026 is: 1,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.03 : 2,380.59 = 1,026 : x
  2. Step 2: Convert to fraction form
    1,725.03/2,380.59 = 1,026/x
  3. Step 3: Cross multiply
    1,725.03x = 2,380.59 × 1,026
  4. Step 4: Simplify right side
    1,725.03x = 2,442,485.34
  5. Step 5: Solve for x
    x = 2,442,485.34/1,725.03
  6. Step 6: Final answer
    x = 1,415.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.